Mathematics - Numerical Methods - Root finding algorithms - Newton's Method Visualizer
Show a graph of f(x)=x³-2x-5. The student clicks to choose a starting point x₀. A tangent line is drawn at (x₀,f(x₀)). It intersects the x-axis at x₁. Then tangent at x₁ gives x₂, and so on. Watch the sequence converge to the root! The student can try different starting points. Some converge quickly